A.) At the start of a trip, a driver adjusts the absolute pressure in her tires

Question

A.) At the start of a trip, a driver adjusts the absolute pressure in her tires to be 2.78E+5 Pa when the outdoor temperature is 287 K. At the end of the trip she measures the pressure to be 3.04E+5 Pa. Ignoring the expansion of the tires, find the air temperature (in K) inside the tires at the end of the trip.

B.)
Initially, the translational rms speed of a molecule of an ideal gas is 460 m/s. The pressure and volume of this gas are kept constant, while the number of molecules is doubled. What is the final translational rms speed of the molecules?

Explanation / Answer

P2/P1 = T2/T1

T2 = 313.84K

B)Vrms proportional to 1/usqrt(n)

Vrms = v/sqrt(2)

Vrms = 325.27m/s

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